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Finding the Third Proportional to 9,409.19 and 13,853.88

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Solution

The third proportional to 9,409.19 and 13,853.88 is: 20,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.19 : 13,853.88 = 13,853.88 : x
  2. Step 2: Convert to fraction form
    9,409.19/13,853.88 = 13,853.88/x
  3. Step 3: Cross multiply
    9,409.19x = 13,853.88 × 13,853.88
  4. Step 4: Simplify right side
    9,409.19x = 191,929,916.78
  5. Step 5: Solve for x
    x = 191,929,916.78/9,409.19
  6. Step 6: Final answer
    x = 20,398.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.